Abstract
The Ruijsenaars-Schneider models are conventionally regarded as relativistic generalizations of the Calogero integrable systems. Surprisingly enough, their supersymmetric generalizations escaped attention. In this work, N = 2 supersymmetric extensions of the rational and hyperbolic Ruijsenaars-Schneider three-body models are constructed within the framework of the Hamiltonian formalism. It is also known that the rational model can be described by the geodesic equations associated with a metric connection. We demonstrate that the hyperbolic systems are linked to non-metric connections.
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ArXiv ePrint: 1802.08011
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Galajinsky, A. Ruijsenaars-Schneider three-body models with N = 2 supersymmetry. J. High Energ. Phys. 2018, 79 (2018). https://doi.org/10.1007/JHEP04(2018)079
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DOI: https://doi.org/10.1007/JHEP04(2018)079